Abstract
About 60 million children under the age of 18 are left behind by their parents in rural China. This paper studies the effect of migrant parents on the educational attainment of their left-behind children in rural China. A theoretical model of optimal schooling in the context of parental migration is proposed. Then, reduced-form equations are estimated using probit model, instrumental variables probit model, and linear instrumental variables model. Results show that parental migration has a negative effect on children’s school enrollment. This negative effect is significant and sizable on the school enrollment of boys, but insignificant on the school enrollment of girls. The most important source of this robust negative effect on boys is the absence of fathers. Results suggest that left-behind mothers or relatives cannot fulfill fathers’ role successfully in disciplining boys and help with their educational needs.
Appendix
Effect of being in a migrant household on children’s enrollment (result from OLS and linear instrumental variables regression)
Boys | Girls | |||||
LPM | IV LPM | IV LPM | LPM | IV LPM | IV LPM | |
Migrant household | –0.132*** | –0.231* | –0.256** | –0.019 | –0.266 | –0.270 |
(0.038) | (0.132) | (0.129) | (0.04) | (0.219) | (0.225) | |
Child characteristics | ||||||
Age | 0.260*** | 0.248*** | 0.247*** | 0.288*** | 0.266*** | 0.273*** |
(0.035) | (0.038) | (0.038) | (0.04) | (0.045) | (0.043) | |
Age squared | –0.013*** | –0.012*** | –0.012*** | –0.014*** | –0.013*** | –0.014*** |
(0.002) | (0.002) | (0.002) | (0.002) | (0.002) | (0.002) | |
Ethnic minority | –0.150** | –0.148** | –0.149** | –0.137*** | –0.161*** | –0.162*** |
(0.065) | (0.061) | (0.061) | (0.05) | (0.055) | (0.056) | |
First born child | 0.014 | 0.02 | 0.023 | 0.04 | 0.031 | 0.035 |
(0.03) | (0.031) | (0.031) | (0.031) | (0.031) | (0.031) | |
Household characteristics | ||||||
Father’s education | –0.001 | 0.001 | 0.001 | 0.016** | 0.022** | 0.021** |
(0.006) | (0.006) | (0.006) | (0.006) | (0.008) | (0.008) | |
Mother’s education | 0.012** | 0.012** | 0.012** | 0.010* | 0.007 | 0.006 |
(0.006) | (0.005) | (0.005) | (0.005) | (0.007) | (0.007) | |
Father in occupation 2 | 0.097*** | 0.119*** | 0.122*** | 0.067* | 0.101** | 0.099** |
(0.037) | (0.046) | (0.045) | (0.037) | (0.049) | (0.048) | |
Father in occupation 3 | 0.097* | 0.101** | 0.099** | 0.093** | 0.092* | 0.090* |
(0.051) | (0.05) | (0.050) | (0.047) | (0.049) | (0.049) | |
Mother in occupation 2 | 0.074** | 0.085** | 0.086** | 0.007 | 0.01 | 0.014 |
(0.037) | (0.04) | (0.040) | (0.047) | (0.049) | (0.049) | |
Mother in occupation 3 | 0.064 | 0.073* | 0.074* | 0.059 | 0.06 | 0.059 |
(0.044) | (0.044) | (0.044) | (0.042) | (0.047) | (0.047) | |
Log of wealth | –0.006 | –0.008 | –0.008 | 0.012 | 0.017 | 0.017 |
(0.012) | (0.012) | (0.012) | (0.013) | (0.014) | (0.014) | |
Log of land | –0.02 | –0.015 | –0.014 | 0.029* | 0.036** | 0.039** |
(0.018) | (0.018) | (0.019) | (0.016) | (0.018) | (0.019) | |
# siblings | –0.025 | –0.022 | –0.022 | –0.037* | –0.036 | –0.042* |
(0.024) | (0.024) | (0.024) | (0.022) | (0.024) | (0.024) | |
# adults at home | –0.034** | –0.056* | –0.061** | 0.029 | –0.032 | –0.034 |
(0.016) | (0.031) | (0.031) | (0.02) | (0.056) | (0.058) | |
Village characteristics | ||||||
Log of income/person | 0.041* | 0.039* | 0.039* | 0.024 | 0.032 | 0.029 |
(0.021) | (0.021) | (0.021) | (0.024) | (0.025) | (0.025) | |
Distance to primary school | –0.032* | –0.031* | –0.032* | –0.064*** | –0.062*** | –0.063*** |
(0.017) | (0.016) | (0.016) | (0.015) | (0.016) | (0.016) | |
Instrumental variables in first stage | ||||||
Historical village migrant/labor ratio | 0.143*** | 0.142*** | 0.125*** | 0.125*** | ||
(0.027) | (0.027) | (0.027) | (0.027) | |||
Father’s age | –0.006 | –0.004 | ||||
(0.005) | (0.005) | |||||
Hansen J statistic | 0.384 | 0.005 | ||||
(p-value) | (0.536) | (0.945) | ||||
Kleibergen–Paap rk LM statistic | 13.009*** | 11.972*** | 10.280*** | 9.468*** | ||
Kleibergen–Paap rk Wald F statistic | 16.348 | 32.374 | 13.048 | 25.289 | ||
Endogeneity test statistic | 0.463 | 0.705 | 1.281 | 1.295 | ||
(p-value) | (0.496) | (0.401) | (0.258) | (0.255) | ||
R2 | 0.377 | 0.367 | 0.360 | 0.413 | 0.366 | 0.360 |
Observations | 440 | 439 | 440 | 429 | 426 | 429 |
Exclusion restriction test for the instrumental variables (reduced-form results for sample of children of non-migrant parents)
Boys | Girls | |||
Probit | LPM | Probit | LPM | |
Historical village migrant/labor ratio | –0.001 | –0.002 | –0.008 | –0.055 |
(0.043) | (0.045) | (0.024) | (0.032) | |
Father’s age | –0.005 | –0.007 | 0.003 | 0.004 |
(0.003) | (0.006) | (0.003) | (0.005) | |
F statistic for jointly significance | 0.81 | 1.93 | ||
Chi statistic for jointly significance | 2.39 | 1.18 | ||
p-Value of F-test | 0.303 | 0.444 | 0.554 | 0.1478 |
Pseudo R2 | 0.532 | 0.416 | 0.490 | 0.443 |
Observations | 284 | 284 | 306 | 306 |
Average marginal effect of being in a migrant household on enrollment of children aged 13–17 (result from probit regression)
1 | 2 | 3 | 4 | 5 | |
Panel A: Boys | |||||
Migrant household | –0.083 | –0.168*** | –0.167*** | –0.219*** | –0.099 |
(0.057) | (0.055) | (0.055) | (0.067) | (0.079) | |
Child characteristics | |||||
Ethnic minority | –0.212** | –0.205** | –0.200** | –0.198** | –0.205** |
(0.091) | (0.094) | (0.095) | (0.094) | (0.093) | |
First born child | 0.057 | 0.040 | 0.042 | 0.030 | 0.043 |
(0.051) | (0.050) | (0.050) | (0.052) | (0.050) | |
Household characteristics | |||||
Father’s education | –0.006 | –0.009 | –0.010 | –0.008 | –0.008 |
(0.009) | (0.009) | (0.009) | (0.009) | (0.008) | |
Mother’s education | 0.016** | 0.017** | 0.018** | 0.019** | 0.020*** |
(0.008) | (0.007) | (0.008) | (0.007) | (0.006) | |
Father in occupation 2 | 0.230*** | 0.220*** | 0.223*** | 0.216*** | |
(0.051) | (0.051) | (0.050) | (0.048) | ||
Father in occupation 3 | 0.233*** | 0.223*** | 0.234*** | 0.228*** | |
(0.077) | (0.081) | (0.078) | (0.078) | ||
Mother in occupation 2 | 0.117** | 0.117** | 0.127** | 0.099* | |
(0.059) | (0.059) | (0.056) | (0.057) | ||
Mother in occupation 3 | 0.010 | 0.014 | 0.007 | 0.007 | |
(0.118) | (0.119) | (0.116) | (0.113) | ||
Log of wealth | –0.016 | –0.013 | –0.011 | –0.026 | |
(0.021) | (0.021) | (0.022) | (0.020) | ||
Log of land | –0.060** | –0.060** | –0.055** | –0.056** | |
(0.028) | (0.027) | (0.028) | (0.026) | ||
# siblings | –0.068 | –0.103** | –0.107** | –0.101** | |
(0.046) | (0.044) | (0.044) | (0.045) | ||
# siblings aged 6–17 | –0.125*** | ||||
(0.040) | |||||
# siblings aged < 6 | –0.000 | ||||
(0.108) | |||||
# adults at home | –0.048 | ||||
(0.030) | |||||
# young male adults at home | 0.080 | ||||
(0.059) | |||||
# young female adults at home | –0.023 | ||||
(0.048) | |||||
# old male adults at home | –0.165** | ||||
(0.067) | |||||
# old female adults at home | –0.005 | ||||
(0.060) | |||||
Parent remitted | 0.044 | ||||
(0.082) | |||||
Village characteristics | |||||
Log of income/person | 0.064** | 0.022 | 0.020 | 0.010 | 0.002 |
(0.032) | (0.036) | (0.036) | (0.037) | (0.034) | |
Distance to primary school | –0.006 | –0.015 | –0.014 | –0.015 | –0.007 |
(0.026) | (0.022) | (0.022) | (0.022) | (0.020) | |
Pseudo R2 | 0.315 | 0.419 | 0.420 | 0.426 | 0.457 |
Observations | 207 | 203 | 203 | 203 | 203 |
Panel B: Girls | |||||
Migrant household | –0.111* | –0.092 | –0.092 | –0.029 | –0.011 |
(0.067) | (0.064) | (0.064) | (0.067) | (0.066) | |
Child characteristics | |||||
Ethnic minority | –0.168** | –0.132* | –0.129 | –0.122 | –0.145* |
(0.084) | (0.079) | (0.080) | (0.079) | (0.080) | |
First born child | 0.114** | 0.094** | 0.093** | 0.107** | 0.110*** |
(0.048) | (0.045) | (0.044) | (0.042) | (0.041) | |
Household characteristics | |||||
Father’s education | 0.032*** | 0.020** | 0.020** | 0.018** | 0.017* |
(0.009) | (0.009) | (0.009) | (0.009) | (0.009) | |
Mother’s education | 0.009 | 0.011* | 0.011* | 0.012** | 0.014** |
(0.007) | (0.006) | (0.006) | (0.006) | (0.006) | |
Father in occupation 2 | 0.128** | 0.120** | 0.128** | 0.131** | |
(0.055) | (0.057) | (0.056) | (0.057) | ||
Father in occupation 3 | 0.215*** | 0.210*** | 0.232*** | 0.252*** | |
(0.067) | (0.066) | (0.063) | (0.061) | ||
Mother in occupation 2 | 0.077 | 0.080 | 0.075 | 0.088 | |
(0.063) | (0.062) | (0.063) | (0.060) | ||
Mother in occupation 3 | 0.073 | 0.062 | 0.071 | 0.051 | |
(0.095) | (0.097) | (0.096) | (0.094) | ||
Log of wealth | 0.049** | 0.050*** | 0.047** | 0.047** | |
(0.019) | (0.019) | (0.019) | (0.019) | ||
Log of land | 0.082*** | 0.080*** | 0.078*** | 0.076*** | |
(0.024) | (0.024) | (0.024) | (0.024) | ||
# siblings | –0.086*** | –0.071*** | –0.069*** | –0.053** | |
(0.028) | (0.025) | (0.025) | (0.025) | ||
# siblings aged 6–17 | –0.060** | ||||
(0.024) | |||||
# siblings aged < 6 | –0.030 | ||||
(0.103) | |||||
# adults at home | 0.050 | ||||
(0.038) | |||||
# young male adults at home | 0.046 | ||||
(0.061) | |||||
# young female adults at home | 0.124* | ||||
(0.068) | |||||
# old male adults at home | –0.044 | ||||
(0.121) | |||||
# old female adults at home | 0.040 | ||||
(0.060) | |||||
Parent remitted | 0.080 | ||||
(0.067) | |||||
Village characteristics | |||||
Log of income/person | 0.043 | 0.009 | 0.008 | 0.017 | 0.008 |
(0.036) | (0.037) | (0.036) | (0.036) | (0.037) | |
Distance to primary school | –0.063*** | –0.047** | –0.047** | –0.045** | –0.043** |
(0.022) | (0.020) | (0.019) | (0.020) | (0.019) | |
Pseudo R2 | 0.289 | 0.367 | 0.369 | 0.375 | 0.384 |
Observations | 205 | 201 | 201 | 201 | 201 |
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- 1
There is also a steam of research studying the impact of internal migration on migrant children in China (Feng and Chen 2012; Liang and Chen 2007; Liang, Guo, and Duan 2008).
- 2
A survey based on 2000 census by the All-China Women’s Federation research team shows that 88.2% of all left-behind children report that they can only communicate with their migrant parents by phone; among them 53.5% cannot talk longer than 3 minutes (People’s Daily Online 2007). Furthermore, 8.7% of left-behind children never have contact with their migrant parents. About 24.2% of children with both migrant parents never or seldom talk with their adult guardians.
- 3
E is the earnings net out of migration cost in the case of migration.
- 4
A large literature in sociology and educational psychology suggests that parental involvement has sizable positive effect on children’s educational achievement, and recent economic studies confirm this (Fan 2001; Fehrmann, Keith, and Reimers 1987; Feinstein and Symons 1999; Garg et al. 2002; George and Kaplan 1998; Gonzalez-Pienda et al. 2002; Haveman and Wolfe 1995; Izzo et al. 1999; Ma 2001; Marchant, Paulson, and Rothlisberg 2001; Mau 1997; McNeal 2001; Paxson and Schady 2007; Sacker, Schoon, and Bartley 2002; Sui-Chu and Willms 1996).
- 5
- 6
Significant is significant at 5% level unless otherwise stated.
- 7
Table 2 shows the statistics conditional on being in a migrant household not conditional on being a migrant.
- 8
For example, some might concern that father’s age may directly related to father’s age at birth of the child which might be related to health and ability of the child, and therefore affects schooling.
- 9
Though the theoretical model suggests that local wage should have a negative effect on school enrollment, wage only has an insignificant trivial effect in the regression. One hundred yuan increase in wage may decrease enrollment by less than 1%. Also, including wage shrinks the sample size by about 40%, and thus, regressions with local wage are not reported.
- 10
There are two cases of zero farmland size; I substitute them with 0.01 when taking log. I tried substituting them with other small positive numbers, and it does not affect the regression results.
- 11
These results are available upon request.
©2014 by Walter de Gruyter Berlin / Boston
Artikel in diesem Heft
- Frontmatter
- Advances
- Preferential Admission and MBA Outcomes: Mismatch Effects by Race and Gender
- Quantity Uncertainty and Demand: The Case of Water Smart Reader Ownership
- Contributions
- Employment Effects of the 2009 Minimum Wage Increase: New Evidence from State-Based Comparisons of Workers by Skill Level
- Introducing Carbon Taxes in Russia: The Relevance of Tax-Interaction Effects
- Estimating Parents’ Valuations of Class Size Reductions Using Attrition in the Tennessee STAR Experiment
- Local Option, Alcohol and Crime
- To Work or Not to Work? The Effect of Childcare Subsidies on the Labour Supply of Parents
- Understanding Ransom Kidnappings and Their Duration
- Screening Stringency in the Disability Insurance Program
- Sticks and Carrots in Procurement: An Experimental Exploration
- Peer Effects and Policy: The Relationship between Classroom Gender Composition and Student Achievement in Early Elementary School
- Topics
- Competition and Innovation in Product Quality: Theory and Evidence from Eastern Europe and Central Asia
- Trading the Television for a Textbook?: High School Exit Exams and Student Behavior
- The Effect of Parental Migration on the Educational Attainment of Their Left-Behind Children in Rural China
- Do Parents’ Social Skills Influence Their Children’s Sociability?
- The Role of Infrastructure in Mitigating Poverty Dynamics: The Case of an Irrigation Project in Sri Lanka
- Congestion of Academic Journals Under Papers’ Imperfect Selection
- Endogenous Merger with Learning
- Do Low-Skilled Migrants Contribute More to Home Country Income? Evidence from South Asia
- The Minimum Wage and Crime
Artikel in diesem Heft
- Frontmatter
- Advances
- Preferential Admission and MBA Outcomes: Mismatch Effects by Race and Gender
- Quantity Uncertainty and Demand: The Case of Water Smart Reader Ownership
- Contributions
- Employment Effects of the 2009 Minimum Wage Increase: New Evidence from State-Based Comparisons of Workers by Skill Level
- Introducing Carbon Taxes in Russia: The Relevance of Tax-Interaction Effects
- Estimating Parents’ Valuations of Class Size Reductions Using Attrition in the Tennessee STAR Experiment
- Local Option, Alcohol and Crime
- To Work or Not to Work? The Effect of Childcare Subsidies on the Labour Supply of Parents
- Understanding Ransom Kidnappings and Their Duration
- Screening Stringency in the Disability Insurance Program
- Sticks and Carrots in Procurement: An Experimental Exploration
- Peer Effects and Policy: The Relationship between Classroom Gender Composition and Student Achievement in Early Elementary School
- Topics
- Competition and Innovation in Product Quality: Theory and Evidence from Eastern Europe and Central Asia
- Trading the Television for a Textbook?: High School Exit Exams and Student Behavior
- The Effect of Parental Migration on the Educational Attainment of Their Left-Behind Children in Rural China
- Do Parents’ Social Skills Influence Their Children’s Sociability?
- The Role of Infrastructure in Mitigating Poverty Dynamics: The Case of an Irrigation Project in Sri Lanka
- Congestion of Academic Journals Under Papers’ Imperfect Selection
- Endogenous Merger with Learning
- Do Low-Skilled Migrants Contribute More to Home Country Income? Evidence from South Asia
- The Minimum Wage and Crime